Veliov, Vladimir On the controllability of control constrained linear systems. (English) Zbl 0681.93009 Math. Balk., New Ser. 2, No. 2-3, 147-155 (1988). Summary: The notion of controllability index is extended to control constrained linear systems. An exact estimate of the growth of the reachable set for small time intervals is proved. The robustness of the instant local controllability is discussed. Cited in 6 Documents MSC: 93B05 Controllability 93B03 Attainable sets, reachability 93C05 Linear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations Keywords:controllability index; local controllability; time-invariant PDFBibTeX XMLCite \textit{V. Veliov}, Math. Balk., New Ser. 2, No. 2--3, 147--155 (1988; Zbl 0681.93009)